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Finding the Fourth Proportional to 392.80, 588.98 and 161.56

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Solution

The fourth proportional to 392.80, 588.98 and 161.56 is: 242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.80 : 588.98 = 161.56 : x
  2. Step 2: Convert to fraction form
    392.80/588.98 = 161.56/x
  3. Step 3: Cross multiply
    392.80x = 588.98 × 161.56
  4. Step 4: Simplify right side
    392.80x = 95,155.61
  5. Step 5: Solve for x
    x = 95,155.61/392.80
  6. Step 6: Final answer
    x = 242.25

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